HOME Realty claims that it can sell a detached, residential house faster than any other realty company. With the aim of examining HOME's claim, you sample 20customers who sold a detached, residential house through HOME and record the selling times in days) of the houses. Your data are summarized in the followinghistogram:See photoBased on the histogram, find the proportion of selling times in the sample that are greater than or equal to 10 days. Write your answer as a decimal, and do notround your answer.
Answers
From the histogram we notice that we have a total of 20 samples, of them 17 houses were sold in more than 10 days. Hence the proportion is:
[tex]\frac{17}{20}=0.85[/tex]Therefore the proportion is 0.85
Related Questions
The lines represented by the equations y= -x+9 and y+x=9 are?
Answers
Notice that if you take the second equation, y+x=9 and solve it for y you get
y=-x+9
which is the exact same equation as the equation of the first line.
Answer: the same line.
2(4−x) − 3(x+3) = −11
Answers
2(4−x) − 3(x+3) = −11
First open the parenthesis
8 - 2x - 3x - 9 = -11
8 - 5x -9 = -11
Rearrange
8 - 9 - 5x = - 11
-1 - 5x = -11
Add one to both-side of the equation
-5x = -11+ 1
-5x = -10
Divide both-side of the equation by -5
x = 2
Ishi walked a total of 2 miles on a treadmill. He walked at a constant rate of 4 miles per hour. Whichexpression shows how long, in minutes, Ishi walked on the treadmill?X2.5 miles x 4 mileshour60 minutes1 hour2.5 miles : 4mileshourх60 minutes1 hour2.5 miles x 4 miles :hour60 minutes1 hour2.5 miles : 4 mileshour60 minutes1 hour
Answers
Given:
a.) Ishi walked a total of 2 1/2 miles on a treadmill.
b.) He walked at a constant rate of 4 miles per hour.
For us to be able to determine how long, in minutes, Ishi walked on the treadmill, we will be using the following formula:
[tex]\text{ Total distance Ishi walked }\div\text{ Constant rate x Equivalent in minutes}[/tex]We get,
[tex]\text{ 2 }\frac{1}{2}\text{miles }\div\text{ 4 }\frac{\text{miles}}{\text{ hour}}\text{ x }\frac{\text{ 60 minutes}}{1\text{ hour}}[/tex]Therefore, the answer is letter B.
The volume of a cylinder is 90π cm^3. If the radius is 3 cm, what is the heightof the cylinder?3 cmO A. 30 cmOB. 15 cmO C. 5 cmD. 10 cm
Answers
Given:
Volume of cylinder, V = 90π cm³
Radius, r = 3 cm
Let's find the height of the cylinder.
To find the height, given the volume, apply the formula for the volume of a cylinder:
[tex]V=\pi r^2h[/tex]Where h is the height.
Let's rewrite the formula for h to solve for h.
Re-arrange the equation:
[tex]\pi r^2h=V[/tex]Divide both sides by πr²:
[tex]\begin{gathered} \frac{\pi r^2h}{\pi r^2}=\frac{V}{\pi r^2} \\ \\ h=\frac{V}{\pi r^{2}} \end{gathered}[/tex]Now, substitute values into the equation and solve for h.
Where:
V = 90π
r = 3
We have:
[tex]\begin{gathered} h=\frac{90\pi}{\pi(3)^2} \\ \\ h=\frac{90\pi}{9\pi} \\ \\ h=\frac{10\pi}{\pi} \\ \\ h=10\text{ cm} \end{gathered}[/tex]Therefore, the height of the cylinder is 10 cm.
ANSWER:
D. 10 cm
Write a mathematical sentence that expresses the information given below.Use t as your variable name. If necessary:type <= to mean to mean 2.Susanne checks the temperature at 10:00 p.m. She notices that, if thetemperature falls by 3 more degrees, it will break the record low temperaturefor that day, which is 26 degrees.Answer hereSUBMIT
Answers
ANSWER :
t - 3 < 26
EXPLANATION :
From the problem, the initial temperature is t degrees.
If the temperature falls by 3 more degrees, which means 3 degrees subtracted from t degrees (t - 3), it will break the record low temperature (26 degrees)
It means that the temperature passes the 26 degrees mark, so the temperature must be less than 26 degrees to break the record.
That will be :
[tex]t-3<26[/tex]Segment AB is rotated to form A'B'¯¯¯¯¯¯¯.The coordinates of point A are (1, 5) and the coordinates of point B are (−6, 4).Which clockwise rotation around the origin results in the transformation of AB¯¯¯¯¯ to formA'B'¯¯¯¯¯¯¯? Select from the drop down arrow to choose the correct rotation.Rotation of 90Rotation of 180Rotation of 270
Answers
Rotation of 180
Explanation
Step 1
Plot segment AB
let's check every option
Step 2
a) 90°
To rotate triangle ABC about the origin 90° clockwise we would follow the rule (x,y) → (y,-x)
so,let's check
[tex]\begin{gathered} A(1,5)\Rightarrow90°\text{ rotatio}\Rightarrow A^{\prime}(5,-1 \\ B(-6,4)\Rightarrow rotation\text{ 90\degree}\Rightarrow B^{\prime}(4,-(-6))=B^{\prime}(4,6) \end{gathered}[/tex]those are not the coordinates of A'B' hence we can discard the rotation of 90°
b)180 °
The rule for a rotation by 180° about the origin is (x,y)→(−x,−y)
so
[tex]\begin{gathered} A(1,5)\Rightarrow90°\text{ rotatio}\Rightarrow A^{\prime}(-1,-5) \\ B(-6,4)\Rightarrow rotation\text{ 90\degree}\Rightarrow B^{\prime}(6,-4) \end{gathered}[/tex]we can see that those are the coordinates of A'B'
hence
the answer is
Rotation of 180
I hope this helps you
If the two lines below are perpendicular and the slope ofthe red line is -, what is the slope of the green line?51015-5-5-105
Answers
If two lines are perpendicular, then the product of their slopes is -1:
[tex]m_r\cdot m_g=-1...(1)[/tex]From the problem, we identify:
[tex]m_r=-\frac{4}{3}\text{ \lparen the slope of the red line\rparen}[/tex]Then, using the equation (1), we calculate the slope of the green line:
[tex]\begin{gathered} -\frac{4}{3}\cdot m_g=-1 \\ \\ \therefore m_g=\frac{3}{4} \end{gathered}[/tex]Answer: Option D
find a b,c that will make thus system a no solution
Answers
If we have the system:
[tex]\begin{gathered} 3x+y=-2 \\ ax+by=c \end{gathered}[/tex]and we don't want the system to have a solution we need that one equation contradicts the other. For example if we choose a=3, b=1 and c=3, we have the system:
[tex]\begin{gathered} 3x+y=-2 \\ 3x+y=3 \end{gathered}[/tex]notice that the left side on both equations is the same, whereas the right side is not the same; this means that the second equation contradicts the first one, hence the system does not have a solution.
This form of choosing a, b and c can be extend to and infinite number of systems if we only change the value of c, that is, as long as a=3, b=1 and that c is not -2 the sytem will not have a solution.
Name Samantha Ceballos Kuta Software - Infinite Algebra 2 Factoring By Grouping Factor each completely. Date 3 varal 1) 12a² – 9a² +4a-3 120343 2) 2p² +50² +6p+15 2p+ept 5p+15 2pp273)stosta lozi 3) 19.045)
Answers
Factor each completely:
5. m^3 - m ^2 + 2 m - 2
m ^2 ( m - 1 ) + 2 ( m - 1 )
= ( m - 1 ) ( m^2 + 2 )
Suppose that you draw 2 cards without replacement from a standard 52-cards deck. What is theprobability that all cards are aces? It is unusual probability. Write your answer with three decimal places
Answers
Answer:
1/221 or 0.005
Explanation:
• The number of aces in a standard 52-cards deck = 4
,• The total number of cards = 52
The probability of drawing two cards (Aces) without replacement is given below:
[tex]\begin{gathered} P(1st\text{ Ace)}=\frac{4}{52} \\ P(2nd\; \text{Ace)}=\frac{3}{51} \end{gathered}[/tex]Therefore, the probability that all cards are aces is:
[tex]\begin{gathered} P(\text{all aces)}=\frac{4}{52}\times\frac{3}{51}=\frac{1}{221} \\ \approx0.005 \end{gathered}[/tex]The probability is 1/221 (as a fraction) and 0.005 (as a decimal correct to 3 decimal places).
A table of values of a linear function is shown below
Answers
ANSWER
• slope: 3
,• y-intercept: 6
,• equation: y = 3x + 6
EXPLANATION
The slope-intercept form of the equation of a line is,
[tex]y=mx+b[/tex]Where m is the slope and b is the y-intercept.
The slope of a line passing through points (x₁, y₁) and (x₂, y₂) is,
[tex]m=\frac{y_1-y_2}{x_1-x_2}[/tex]In this case, to find the slope we have to take two pairs of values from the table. Using the points (1, 9) and (0, 6) we have,
[tex]m=\frac{9-6}{1-0}=\frac{3}{1}=3[/tex]Hence, the slope is 3.
The y-intercept is the value of y where the line intersects the y-axis. This always occurs at x = 0, so the y-intercept is shown in the table as the value of y for x = 0,
Hence, the y-intercept is 6.
Finally, we have to substitute m and b with the slope and y-intercept found to write the equation for this function. Hence, the equation is y = 3x + 6.
the regular price of a computer is$980,but is on sale for $750, the sale price is what percent of the regular price
Answers
The regular price of a computer is$980,but is on sale for $750, the sale price is ........
What percent of the regular price?
% of the sale price = $ 750 / $980 x 100/ 1 = 76 . 53 %
The same question except the regular price is what percent of the sale price? = 100 %
NUMBER 7Inc. intervals = increasing intervalDec. intervals = decreasing intervals
Answers
[tex]\begin{gathered} \text{Domain: (-}\infty,\infty) \\ \text{Range: \lbrack-5.848, }\infty) \\ relative\text{ minimum at x = -0.366} \\ \text{relative max i}mum\text{ at x =1}.366 \\ \text{Increasing interval: (-0.366},\text{ 1.366) }\cup(2,\text{ }\infty) \\ \text{Decreasing interval: (-}\infty,\text{ -0.366)} \end{gathered}[/tex]
See explanation below
Explanation:[tex]\begin{gathered} 7)\text{ The domain: x values of the function} \\ \text{The domain of the polynomial is all real numbers} \\ \text{Domain: (-}\infty,\infty) \end{gathered}[/tex][tex]\begin{gathered} \text{Range: y values of the function} \\ \text{The range starts before -6 and extends towards infinity} \\ On\text{ the graph, this point is y = -5.}848 \\ \text{Range is y }\ge\text{ -5.}848 \\ \text{Range: \lbrack-5.848, }\infty) \end{gathered}[/tex][tex]\begin{gathered} To\text{ }get\operatorname{Re}l\text{ a tive maximum and minimum, we differenciate the initial polynomial:} \\ f(x)=x^4-4x^3+3x^2+4x-5 \\ f^{\prime}(x)=4x^3-12x^2\text{ + 6x + 4} \\ 4x^3-12x^2\text{ + 6x + 4 = 0} \\ \text{The roots of the }4x^3-12x^2\text{ + 6x + 4 are }-0.366,\text{ 1.366, }2 \end{gathered}[/tex][tex]\begin{gathered} \text{second derivative: }f^{\prime\prime}(x)=12x^2\text{ - 24x + 6} \\ \text{when x = }-0.366 \\ \text{roots of }12x^2\text{ - 24x + 6 = 16.39} \\ \text{when x = 1.366} \\ \text{roots of }12x^2\text{ - 24x + 6 =}-4.39 \\ \text{when x = 2} \\ \text{roots of }12x^2\text{ - 24x + 6 = 6} \end{gathered}[/tex][tex]\begin{gathered} if\text{ after inserting the the values above:} \\ \text{the 2nd derivative result is positive, it will be local minimum} \\ \text{the 2nd derivative result is negative, it will be local max imum} \\ relative\text{ minimum at x = -0.366} \\ \text{relative max i}mum\text{ at x =1}.366 \end{gathered}[/tex][tex]\begin{gathered} \text{End behaviour: }f(x)=x^4-4x^3+3x^2+4x-5 \\ \text{leading coefficient = 1 (positive), degr}ee\text{ = 4 (even)} \\ As\text{ x }\rightarrow\text{ +}\infty,\text{ f(x) }\rightarrow\text{ +}\infty \\ As\text{ x }\rightarrow\text{ -}\infty,\text{ f(x) }\rightarrow\text{ +}\infty \end{gathered}[/tex][tex]\begin{gathered} \text{Increasing interval:} \\ =\text{ (-0.366},\text{ 1.366) }\cup(2,\text{ }\infty) \\ \text{Decreasing inrterval}\colon \\ =\text{ (-}\infty,\text{ -0.366)} \end{gathered}[/tex]
(a) At Smith's Bike Rentals, it costs $43 to rent a bike for 9 hours. How many hours of bike use does a customer get per dollar?
Answers
Unit Rate
It's given it costs $43 to rent a bike for 9 hours.
Unit rating allows us to find the relation between variables as a number per unit.
If we divide $43/9 we have $4.78 per hour. This means each hour costs $4.78 to rent a bike.
If we divide 9/$43 we get 0.21 hours per dollar. This means at Smith's Bike Rentals you get 0.21 hours of bike per dollar.
Find one positive and one negative angle coterminal with an angle of 166°. 526°, –194°516°, –14°526°, –76256°, –76°
Answers
Given:
The angle is 166 degree.
Explanation:
The coterminal angle can be determined by adding and substracting 360 from the given angle 166 degree.
Determine the positive and negative coterminal angle.
For positive coterminal angle:
[tex]360+166=526[/tex]For negative coterminal angle:
[tex]166-360=-194[/tex]Thus positive and negative coterminal angles are 526 degree and -194 degree.
The regression equation y=-0.428x+111.73 approximates the percent of people in anaudience who finish watching a documentary, y, given the length of the film inminutes, x.What is the best prediction for the percent of people in an audience who will finishwatching a documentary that is 47 minutes long? (Round your answer to thehundredths place)
Answers
For y = 47
[tex]\begin{gathered} y=47 \\ 47=-0.428x+111.73 \end{gathered}[/tex]Solve for x:
[tex]\begin{gathered} 47=-0.428x+111.73 \\ 47-111.73=-0.428x \\ -64.73=-0.428x \\ x=\frac{-64.73}{-0.428} \\ x\approx151.24 \end{gathered}[/tex]WWW DoNow Simplifying Exponential Expressions Simplify 1. 7ab2ab 2, - Byg
Answers
Simplify the radical expression.
[tex]\begin{gathered} 7a^5b^{-4}2a^6b=14a^{5+6}b^{1-4} \\ =14a^{11}b^{-3} \end{gathered}[/tex]So answer is 14a^(11)b^(-3).
veterinarian's dipping vat holds 24 of liquid She normally of a medicated flea 2/3 Find how many of solution are normally in the vat
Answers
Triangle TMQ is shown with vertices T (4, 1), M(1, 3), and Q(2, 3).Triangle TMQ is reflected across the line y = 1 to form triangle T'M'Q' what are the coordinates of Q'?
Answers
In order to find the coordinates of the vertex T', M' and Q', use the following transformation:
T(x,y) => T'(x , -(y - 1) + 1)
Then, for the given points T, M and Q, you obtain:
T(-4 , 1) => T'(-4, -(1 - 1) + 1) = T'(4 , 1)
M(-1 , 3) => M'(-1, -(3 - 1) + 1) = M'(1 , -1)
Q(2 , -3) => Q'(2 , -(-3 -1) + 1) = Q'(2 , 5)
Hence, the coordinates ofthe point Q' are (2 , 5)
Directions: Select all answer(s) the apply.Solve: - (2-3) <3 - 2All real numbers+Infinitely many solutionsX-3No solutionX<3Empty set3>X
Answers
In this case the answer is very simple.
We must solve the inequality.
- ( x - 3 ) < 3 - x
- x + 3 < 3 - x
- x + x < 3 - 3
0 < 0
In this case the solution would be:
There are no solutions.
Rewrite the quadratic function f(x)=x^2-3x+2 into standard form. Identify its vertex and all its intercepts.
Answers
Given
[tex]f\mleft(x\mright)=x^2-3x+2[/tex]Find
Rewrite it into standard form and identify vertex and all its intercepts.
Explanation
standard form =
[tex]f(x)=a(x-h)^2+k[/tex]where (h , k) be the vertex
so ,
[tex]\begin{gathered} f(x)=x^2-3x+2 \\ x^2-3x+\frac{9}{4}=-2+\frac{9}{4} \\ (x-\frac{3}{2})^2=\frac{1}{4} \\ f(x)=(x-\frac{3}{2})^2-\frac{1}{4} \\ \end{gathered}[/tex]so vertex be
[tex](\frac{3}{2},-\frac{1}{4})[/tex]for intercept put f(x) = 0
[tex]\begin{gathered} x^2-3x+2=0 \\ (x-1)(x-2)=0 \\ x=1,2 \end{gathered}[/tex]so , x - intercept = (1 , 0) and (2 , 0)
for y- intercept put x =0
[tex]\begin{gathered} y=(0)^2-3(0)+2 \\ y=2 \end{gathered}[/tex]y - intercept (0 , 2)
Final Answer
Therefore , vertex is (3/2,-1/4)
x - intercept = (1 , 0) and (2 , 0) and y - intercept (0 , 2)
The variables x and y are proportional use the values to find the constant of proportionality. Then write an equation that relates x and y.y=72 x=3y=20 x=12y=45 x=40
Answers
Answer:
For y = 72 and x = 3
k = 1/24
For y = 20 and x = 12
k = 3/5
For y = 45 and x = 40
k = 8/9
Explanation:
Given that x and y are proportional,
[tex]x\propto y[/tex]Then
[tex]x=ky[/tex][tex]k=\frac{x}{y}[/tex]For y = 72 and x = 3
k = 3/72 = 1/24
For y = 20 and x = 12
k = 12/20 = 3/5
For y = 45 and x = 40
k = 40/45 = 8/9
Solve for g.g + (-5) = 27g =
Answers
Solve for g:
g + (-5) = 27
Operate the parentheses:
g - 5 = 27
Adding 5 on both sides of the equation:
g = 27 + 5
g = 32
Why might it be helpful to compare unit rates in the real world?
Answers
A unit rate is a ratio used to compare a unit of one quantity to different units of anothe quantity. In a unit rate, one quantity is one unit.
A unit rate compares a quantity to another.
In the real world, a unit rate is very helpful because it allows for direct comparisons. The unit rates help in comparing varying sizes of different quantities by comparing the number of units for one quantity to one unit of another quantity.
Thus, we can say it might be helpful to compare unit rates in the real world because it helps in knowing the varying prices of different commodities(units) that have the same value.
A can of fruit contains 32 OZ. Of pineapples. If each ounce is equal to 28.35 grams, how many grams are in the can of fruit.
Answers
Answer:
907.2 grams
Explanation:
We were given that:
A can of fruit contains 32 OZ. Of pineapples
1 ounce = 28.35 grams
The number of grams in the can of fruit is calculated using simple proportion as shown below:
[tex]\begin{gathered} 1ounce=28.35grams \\ 32ounces=x \\ \text{We will cross multiply, we have:} \\ x\times1=32\times28.35 \\ x=907.2grams \\ \\ \therefore x=907.2grams \end{gathered}[/tex]Therefore, there are 907.2 grams in a can of fruit
Fill in the blanks with line, linear, constant, and rate of change.The slope tells you how much the y-value of a point changes each time the x-value increases by 1 unit.This is called theWhen one quantity changes at araterelative to another, there is arelationship between the quantities, which is graphed as a
Answers
Question clarified:
The slope tells you how much the y-value of a point changes each time the x-value increases by 1 unit. This is called the ____________ (1).
When one quantity changes at a ____________ (2) rate relative to another, there is a ____________ (3) relationship between the quantities, which is graphed as a ____________ (4).
Some basic explanation:
Line is a points connected that goes in both directions infinitely. Basically:
It has slope. Which is the rate of change of y with respect to x.
Line is a linear curve.
Now, the first part tells us the rate of change of y with x, so blank (1) would be rate of change.
Let's look at the second part now:
When y and x changes at a constant rate (constant slope), it will be a line. Otherwise, it is a curve.
Hence, blank (2) is "constant".
The relationship is linear, that is blank "3".
Of course, when graphed, it creates a "line".
That's blank number 4.
Final answer:
The slope tells you how much the y-value of a point changes each time the x-value increases by 1 unit. This is called the rate of change (1).
When one quantity changes at a constant (2) rate relative to another, there is a linear (3) relationship between the quantities, which is graphed as a line (4).
Use the data in the table to create a scatter plot. Find theequation for the line of best fit.
Answers
we have the following data set
We can plot then in the cartesian plane,
we can calculate the line of best fit be using the extreme points,
[tex]\begin{gathered} (x1,y1)=(1.0,1.1) \\ (x2,y2)=(8.3,22.1) \\ y-y1=\frac{y2-y1}{x2-x1}*(x-x1) \end{gathered}[/tex]replacing and solving:
[tex]\begin{gathered} y-1.1=\frac{22.1-1.1}{8.3-1.0}*(x-1.0) \\ y-1.1=\frac{21}{7.3}x-\frac{21}{7.3} \\ y=\frac{210}{73}x-\frac{1297}{730} \\ y\approx2.6-0.4 \end{gathered}[/tex]Thus, the answer is y = 2.6x - 0.4
I don't understand word problems and if I get the same lady don't leave me I left you because I was finished and I gave you a good rating so please don't leave
Answers
The mechanic charges $24 per hour. Also, labour was charged for 1 3/4 hours. Therefore, the total labour cost is,
[tex]L=24\times1\frac{3}{4}=24\times\frac{7}{4}=42[/tex]Now, the total bill is,
[tex]T=42+9+12+4.79=67.79[/tex]Therefore, the total bill is $67.79.
at the movie theater all snacks are the same price and all movies are the same price. For snacks and tree movies cost $40. Two snacks and tree movie tickets are $32. What is the cost of a snack and movie ticket?
Answers
Answer:
Look at the explanation.
Step-by-step explanation:
The two equations:
[tex]4s+3m=40\\2s+3m =32[/tex]
-
m = The amount for each movie ticket
s = The amount for each snack
-
We'll use the elimination method.
Firstly, we have to cancel either s or m. Therefore, to get the same values of either s or m, we have to multiply the entire equation.
-
In here, we decided that s should be canceled first. Therefore, to get both values to have the same number, we should multiply them with each other. And since they're both positive, we have to multiply one equation with a negative number.
[tex](*-2)4s + 3m = 40\\(*4)2s + 3m = 32\\[/tex]
-
The new equations:
[tex]-8s -6m = -80\\8s + 12m = 128[/tex]
-
Now we can cancel.
[tex](-8s+8s) + (-6m+12m) = (-80+128)\\\6m = 48\\m = 8[/tex]
-
Solving for s:
We can choose one of the equations that we formed.
So, for instance: 8s + 12m = 128
Since we know the value of m, we can substitute it.
-
[tex]8s + 12(8) = 128\\8s + 96 = 128\\8s = 128 - 96\\8s = 32\\s = 4[/tex]
-
Now we can conclude that:
1 movie ticket costs $8
1 snack costs $4
solve 4.3t + 6.8t = 8.4t - 7.55 for t.
Answers
we place the t's on the same side and the other nombers on the other side
[tex]6.8+7.55=8.4t-4.3t[/tex]now do the operations
[tex]14.35=4.1t[/tex]then solve t
[tex]\begin{gathered} t=\frac{14.35}{4.1} \\ \\ t=3.5 \end{gathered}[/tex]the value of t is 3.5 so the rigth option is D